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Finding the Fourth Proportional to 120,089.88, 165,723.84 and 66,374.33

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Solution

The fourth proportional to 120,089.88, 165,723.84 and 66,374.33 is: 91,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,089.88 : 165,723.84 = 66,374.33 : x
  2. Step 2: Convert to fraction form
    120,089.88/165,723.84 = 66,374.33/x
  3. Step 3: Cross multiply
    120,089.88x = 165,723.84 × 66,374.33
  4. Step 4: Simplify right side
    120,089.88x = 10,999,808,016.41
  5. Step 5: Solve for x
    x = 10,999,808,016.41/120,089.88
  6. Step 6: Final answer
    x = 91,596.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.